2 Answers

The way to figure this out is to calculate the expected value, and play the game with the highest expected value. The expected value is the sum of all the probabilities of winning or losing times the respective amounts. Losing bets are counted as negative amounts.

First game:

Probability of drawing a red ace from a standard deck is 2/52 = 1/26 = 0.0384165

Probability of drawing a red card that is not a red ace is 24/52 = 6/13 = 0.4615384

Probability of drawing a black ace from a standard deck is 2/52 = 1/26 = 0.0384165

Probability of drawing a black card that is not an ace is 24/52 = 6/13 = 0.4615384